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Mathematics
Mathematics
Problem
If
y
=
exp
(
tan
−
1
(
4
x
2
+
1
)
)
y=\exp\bigl(\tan^{-1}(\sqrt{4x^{2}+1})\bigr)
y
=
exp
(
tan
−
1
(
4
x
2
+
1
)
)
, calculate
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
x
=
0
x=0
x
=
0
. a)
e
π
/
4
e^{\pi/4}
e
π
/4
b)
2
e
π
/
4
2e^{\pi/4}
2
e
π
/4
c)
0
0
0
d)
e
π
/
4
2
\dfrac{e^{\pi/4}}{2}
2
e
π
/4
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